This was indeed the case up to and including Android 10 ('Quince Tart') but from Android 11 ('Red Velvet Cake') onwards this access has been blocked (on some devices anyway) for 'security reasons'.
I have been sent these instructions for working around this limitation; they are a little involved but better than nothing. If I can devise a better method for a future release I will of course do so:
- Go into Settings... Apps... App management and give BBC BASIC permission to access media files (Music, Photos and Videos).
- Open BBC BASIC and enable listing of all file types (Long press below the list of files and tap on List all files).
- Tap on @usr$ and then tap .. four times, this should take you to the root of the file system.
- From there navigate to Movies, Music or Videos; you should be able to see media files of the appropriate types (e.g. .jpg, .mp3).